Results 111 to 120 of about 317,311 (293)

The Evolution of Fractional Calculus

Chaos Theory and Applications, 2022
Fractional Calculus started in 1695 with Leibniz discussing the meaning of $D^ny$ for $n = 1/2$. Many mathematicians  developed the theoretical concepts, but the area remained somewhat unknown from applied sciences.
José A. Tenreiro Machado
doaj  

Effect of confining pressure on fracture characteristics and mineralogical behavior of tight sandstone specimens after hydraulic fracturing

Deep Underground Science and Engineering, EarlyView.
Hydraulic fracturing in tight sandstone and fracture propagation characteristics using backscattered electron‐scanning electron microscope (BSE‐SEM) images. Abstract This study focuses on hydraulic fracturing experiments conducted under triaxial conditions on tight sandstone specimens from Shivpuri district, Madhya Pradesh, India.
Pankaj Rawat, Narendra Kumar Samadhiya
wiley   +1 more source

Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space

Journal of Function Spaces and Applications, 2013
Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.
Guang-Sheng Chen
doaj   +1 more source

Optimization of cut‐hole layout under high in situ stress based on numerical simulation and field tests

Deep Underground Science and Engineering, EarlyView.
This study investigates the blast‐induced rock damage patterns under different cut‐hole layouts and ground stress conditions through numerical simulations and field tests. The findings in this study provide valuable insights for similar underground engineering applications.
Junjie Zhao, Diyuan Li, P. G. Ranjith, Xinxin Lü, Yanliang Li, Xiaoli Su   +5 more
wiley   +1 more source

An efficient deep learning model for brain tumour detection with privacy preservation

CAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman, Arslan Shafique, Imdad Ullah Khan, Yazeed Yasin Ghadi, Jawad Ahmad, Mohammed S. Alshehri, Mimonah Al Qathrady, Majed Alhaisoni, Muhammad H. Zayyan   +8 more
wiley   +1 more source

Numerical investigation on the influence of mesoscopic deformation on contact area and hydraulic aperture to fracture seepage

Deep Underground Science and Engineering, EarlyView.
Fluid flow through a single fracture is commonly described by the cubic law. However, deviations from this model are expected because natural fracture surfaces are rough and in contact with each other in discrete regions. In this study, the interactions between fracture closure, contact area, and hydraulic characterization of mesoscopic‐scale rough ...
Chenghao Han, Yuanlin Bai, Weijie Zhang, Jicheng Zhang, Hongfa Ma, Weiye Li   +5 more
wiley   +1 more source

Temperature‐dependent shear behavior and constitutive model of the rock–concrete interface

Deep Underground Science and Engineering, EarlyView.
Shear tests were conducted to investigate the temperature‐dependent shear behavior of the rock–concrete interface, highlighting the interaction between the surrounding rock and the lining during tunnel fires. Under experimental conditions, concrete exhibited greater temperature sensitivity than rock, with the shear fracture surface transitioning from ...
Hongbin Chen, Yujing Jiang, Rui Pan, Bin Wang, Sunhao Zhang, Jinge Zhang, Xianzhuang Ma   +6 more
wiley   +1 more source

Shear behavior of bolt–grout interfaces under constant normal stiffness: Influence of grout strength and thickness

Deep Underground Science and Engineering, EarlyView.
The effects of grout strength and thickness on the shear behavior of bolt–grout interfaces (BGI) under constant normal stiffness conditions are investigated. Shear strength, failure modes, and acoustic emission characteristics are examined. The findings reveal that grout strength exerts a significantly greater influence on BGI shear strength and ...
Sunhao Zhang, Dongqi Shang, Yujing Jiang, Jinge Zhang, Hongbin Chen, Tianqi Jiang   +5 more
wiley   +1 more source

New Approaches to Fractal–Fractional Bullen’s Inequalities Through Generalized Convexity

Fractal and Fractional
This paper introduces a new identity involving fractal–fractional integrals, which allow us to derive several new Bullen-type inequalities via generalized convexity.
Wedad Saleh, Hamid Boulares, Abdelkader Moumen, Hussien Albala, Badreddine Meftah   +4 more
doaj   +1 more source

Improved Performance of the Permanent Magnet Synchronous Motor Sensorless Control System Based on Direct Torque Control Strategy and Sliding Mode Control Using Fractional Order and Fractal Dimension Calculus

Applied Sciences
This article starts from the premise that one of the global control strategies of the Permanent Magnet Synchronous Motor (PMSM), namely the Direct Torque Control (DTC) control strategy, is characterized by the fact that the internal flux and torque ...
M. Nicola, C. Nicola, Dan Selișteanu, C. Ionete, D. Șendrescu   +4 more
semanticscholar   +1 more source